quasiconvexfunctionexample

The function f of many variables defined on a convex set S is quasiconvex if every lower level set of f is convex. (That is, Pa = x ∈ S: f(x) ≤ a} is convex ...

An example is given by X=[1, 1] and f(x) = x. The form given in Table II is indeed an equivalence theorem in the spirit of Martos' result and follows directly ...

Let's consider a convex set Ω ⇢ IRn and the function f : Ω ! IR real function. Definition (Strictly quasi-concave) f is Strictly quasi-concave if for all x, ...

Theorem 2. Let D be a convex subset of Rn and let f : D → R be a function. Then. 1. f is concave iff the function −f is convex.

... 1: A real valued function is said to be quasi- convex if its domain of definition and all its sublevel sets: for , are convex, where denotes the set over ...

Quasiconvex programming is a generalization of convex programming. ... Quasiconvex programming is used in the solution of surrogate dual problems, whose biduals ...

Examples · f(x)=x2−2. It is a strictly quasiconvex function because if we take any two points x1,x2 in the domain that satisfy the constraints in the definition ...

1. Every convex function is quasiconvex. Every concave function is quasicon- cave. 2. Prove that the following statements are equivalent.

2014年11月24日 — There are many examples of quasi convex functions that are not convex. Note that every increasing function ...